Inscrição na biblioteca: Guest

ISSN Online: 2377-424X

International Heat Transfer Conference 4
August 31 - September 5, 1970, Paris-Versailles, France

HEAT CONDUCTION IN ONE-DIMENSIONAL GEOMETRIES WITH NONUNIFORM INTERNAL HEAT GENERATION

Get access (open in a dialog) DOI: 10.1615/IHTC4.1500
pages 1-11

Resumo

A comparison is made between maximum temperatures in cases of uniform or nonuniform internal heat generation for the same total heat production, in slabs, cylinders or spheres. The ratio between the relative difference in maximum temperatures (in the nonuniform and uniform cases) and a (dimensionless) measure of the nonuniformity in heat generation is shown to vary between narrow bounds which depend only upon the geometric configuration. When the distribution of heat generation is better known, the bounds on this (variational) ratio get closer together. Similar results obtain with cylindrical and spherical shells, for maximum or average temperature and with several boundary conditions.